Answer:
Done
Step-by-step explanation:
Teacher bought $21 worth of stickers and cardstock for his class.
Cost of stickers = $1.50 per sheet
Cost of 's' sheets = $1.5s
Cost of cardstock = $3.50 per pack
Cost of 'c' packs = $3.5c
Equation representing the relationship between sheet of stickers and packs of cardstocks will be,
1.5s + 3.5c = 21
3.5c = -1.5s + 21
1).
y-intercept of the line → (0, 6)
x-intercept of the line → (14, 0)
Therefore, equation of the line represents the line on the graph.
2). Vertical intercept (0, 6) represents that he can purchase maximum 6 packs of cardstock with $21.
Similarly, horizontal intercept (14, 0) represents that he can purchase maximum 14 sheets of stickers with $21.
find the value of tan30+cot30+sin60
Hello!
This is a problem about relating values of the Unit Circle.
First, we need to figure out the specific "points" of each angle measure of 30 and 60.
For the angle measure 30, the point will be [tex](\frac{\sqrt{3}}{2},\frac{1}{2})[/tex].
For the angle measure 60, the point will be [tex](\frac{1}{2},\frac{\sqrt{3}}{2})[/tex].
The tangent value of a point will be its [tex]y[/tex] value over its [tex]x[/tex] value.
[tex]\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.
[tex]\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}[/tex]
The sine value of a point will be the [tex]y[/tex] value of the point.
[tex]\frac{\sqrt{3}}{2}[/tex]
So the values we have so far are [tex]\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}[/tex]
Now we have to find the LCD to add these together, which in this case would be 6.
[tex]\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}[/tex]
Which adds up to [tex]\frac{11\sqrt{3}}{6}[/tex], which is in simplest radical form.
Hope this helps!
A block is pulled 0.9 m to the right in 2.5 seconds. What is the blocks average speed?
Answer:
Step-by-step explanation:
speed=distance /time=0.9/2.5=90/25=3.6 m/s
Find the domain and range, and is it a function?
Please help! If you do you will get 'Brainliest'
Answer:
A) 5/7
Step-by-step explanation:
Equation:
-0.7n = -0.5
n = 5/7
Please help, this question makes no sense
Answer:
5.4 units
Step-by-step explanation:
The diagonal AC has length
|AC| = √(2² + 5²) = √29 ≈ 5.4 units.
The horizontal distance from A to C is 2 units; the vertical distance is 5 units. That's where the 2² and 5² come from.
Write the ratio as a fraction in the simplest form. 3 2/5 to 1 4/5 2 4 3 / to 1 / 5 5
Answer:
a) 17/9
b) 25/39
Step-by-step explanation:
a) 3 2/5 to 1 4/5
17/5 to 9/5
The ration of fractions is 17/5 / 9/5 = 17/9
b) 2 4 /3 to 1 / 5 5
10/3 to 26/5
25/39
The figure shown is made up of a triangle and a square. The perimeter of the figure is 56 inches. Complete
the description to find the area of the figure.
10 in.
8 in.
10 in.
The total length of three sides of the square is in., so the side length of the square is
in. The area of the triangle is in?, and the area of the square is in?, so the total area is
Image of figure is missing so i have attached it.
Answer:
The total length of three sides of the square = 36 in
Side length of square = 12 in
A_triangle = 48 in²
Area of square = 144 in²
Total area of figure = 192 in²
Step-by-step explanation:
Total perimeter = 56 inches
Let the side of the square be s.
Thus, perimeter of the 3 sides of the square = 3s
Therefore, adding all the external sides of the figure, we have;
3s + 10 + 10 = 56
3s + 20 = 56
3s = 56 - 20
3s = 36
s = 36/3
s = 12
Area of triangle is given by the formula;
A_triangle = ½bh
Where;
b is base
h is height
Thus;
A_triangle = ½ × 12 × 8
A_triangle = 48 in²
Area of square = 12 × 12 = 144 in²
Total area of figure = 144 + 48 = 192 in²
which answer is the simplest form of the expression.
Answer:
yellow box
Step-by-step explanation:
Answer:
c or the orange option. m^2n/2
Step-by-step explanation:
i hope this helps :)
PLEASE HELP. I will mark branliest
Answer:
28
Step-by-step explanation:
yall i need help rn please
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If y = 1/2x, then y will always be half of x.
5/8 - 2/9 × 3/8 fraction simplify quick please
We had a revision and I forgot can you help me
Answer:
ans is 13/25
Step-by-step explanation:
hope it helps!!!
The six sides of a number cube are labeled 1,2,3,4,5, and 6. You flip a coin and roll the number cube. What is the theoretical probability that the coin lands on tails and you roll a number less than 3?
Answer:
1/6
Step-by-step explanation:
P(tails, # LT 3) = 1/2 x 2/6 = 1/2 x 1/3
simplify (2+3)squared-16 divided by 2
Answer:
it would be 4.5
Step-by-step explanation:
basic explantion
step 1. 3+2 =5
step 2 5x5=25
step 3 25-16=9
step 4 9 divde by 2= 4.5
simplifyed it would be 25-16 ÷ 2
more deatialed explanation.
I added 3+2 to get 5 and i sqaured the 5 to get 25 becasue 5x5 is 25 then i took away 16 and got 9 then i divde 9 by 2 to get 4.5. hope this helped!
The perimeter of a square is given as 8x+20 expression
Answer:
wow that hard even i dont know how to do that
Step-by-step explanation:
sorry
Can someone please help me :) ❗❗❗❗❗
Answer:
the third option
Step-by-step explanation:
when X is negative f(x) is positive. and when f(x) is negative x is positive
Put these numbers in order from least to greatest.
1/2 1/3 2/5 0.6 0.3
Least
Greatest
0.6, 0.3 2/5, 1/3 1/2 ( I believe)
Step-by-step explanation:
good luck !!!
first one that gets it correctly gets branlyest
Answer:
200 in2
Step-by-step explanation:
diameter= 15 in. so raduis = 15/2
area of circle = πr2
= 22/7 * 15/2 *15/2
= 176.79
rounding to the nearest 100, its 200 in2
HELP! WILL MARK AS BRAINLIEST! PLEASE INCLUDE THE CALCULATION (MATHEMATIC FORM 1 // BASIC ALGEBRA) pls answer 4 question above TYSM!!!
Answer:
a) 3p
c) 2
3) [tex]ab^{2}[/tex]
Sorry if these answers are short, I just wanted to finish this problem then rest
Can anyone figure this out? NO LINKS OR FILES
Answer:
a) growing
b) 5% per year
c) $11819.64
Solve:3x+3y=27 and its algebra
Answer: X=9-y
Step-by-step explanation:
Answer:
x = 9 - y
y = 9 - x
Step-by-step explanation:
Solving for X:[tex]3(x + y) = 27[/tex]
[tex]x + y = \frac{27}{3} [/tex]
[tex]x + y = 9[/tex]
[tex]x = 9 - y[/tex]
Solving for Y:[tex]3(x + y) = 27[/tex]
[tex]x + y = \frac{27}{3} [/tex]
[tex]x + y = 9[/tex]
[tex]y= 9 - x[/tex]
Hence, the answer for x is x = 9 - y and the answer for y is y = 9 - x.
pls answer this real answers if its right ill give brainliest
Answer: 7.5 batches
Step-by-step explanation:
60/6 is 10, so she needs to make 10 batches in total.
10-2.5=7.5
Answer:
no. of muffins = 60 muffins
no of muffins in each batch = 6 muffins
no. of batches which got over = 2.5 batches
no. of muffins baked = 6 * 2.5 = 15
no. of muffins to be baked = 60 - 15 = 45
no. of batches required to bake 45 muffins = 45 / 6 = 7.5
hope this answer helps you!
please mark as brainliest... thank you!
According to the US Census, the percent of residents aged 65 or older in the 50
states and District of Columbia has mean 13.26% and standard deviation of
1.67%. Find and interpret the standardized scoreſfor the state of Colorado, which
had 9.7% of residents age 65 or older. *
Answer:
z = -2.13
Therefore, the standardized z score for the state of Colorado means the score is below the mean.
Step-by-step explanation:
The formula for z score is given as:
z = (x-μ)/σ,
where
x is the raw score = 9.7%
μ is the population mean = 13.26%
σ is the population standard deviation = 1.67%
z = z score or standardize score
Hence,
z = 9.7 - 13.26/1.67
z = -2.13174
Approximately z = -2.13
Therefore, the standardized z score for the state of Colorado means the score is below the mean
PLEASE ANSWER THESE! I WILL GIVE BRAINLIEST!! YOU NEED TO Solve each equation. Find the missing number by step by step!
Answer:
Where is the image to the equations?
Step-by-step explanation:
Answer:
there's no picture???
Step-by-step explanation:
What is the length of the outside of a circle called
Answer:
The distance around a circle on the other hand is called the circumference (c).
Step-by-step explanation:
A straight line that passes from one side of a circle to the other through the center is called the diameter. The distance around the outside of a circle is called the circumference. All points on the edge of a circle are the same distance to the center.
The length of the outside of a circle is called the "circumference."
The circumference is the total distance around the outer boundary of the circle.
The distance cover while completing one full lap around the track is equivalent to the circumference of the circle.
The formula to calculate the circumference (C) of a circle is:
C = πd
where π (pi) is a mathematical constant equal to 3.14159, and d represents the diameter of the circle.
The formula for circumference in terms of the radius is:
C = 2πr
Learn more about Circumference of circle here:
https://brainly.com/question/17130827
#SPJ6
in triangle ABC shown, DE || AC. What is the length of AC?
Answer:
AC = 20
Step-by-step explanation:
Δ BDE and Δ BAC are similar, so the ratios of corresponding sides are equal, that is
[tex]\frac{AC}{DE}[/tex] = [tex]\frac{BA}{BD}[/tex] , substitute values
[tex]\frac{AC}{8}[/tex] = [tex]\frac{10}{4}[/tex] ( cross- multiply )
4AC = 80 ( divide both sides by 4 )
AC = 20
In the triangle ABC if DE is parallel to AC then the length of AC is 12 units.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that the triangles ABC and BDE are similar triangles.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Let us form a proportional equation by comparing the proportional sides.
AC/DE=AD/BD
AC/8= 6/4
Apply cross multiplication
AC=48/4
Divide numerator and denominator by 4.
AC=12
Hence, in the triangle ABC if DE is parallel to AC then the length of AC is 12 units.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ2
The answer to my question is
For number 13. x^3+7x^2-9x-63
For number14. 18x (x-4)
BUT SOMEONE SHOW WORK PLS FOR BRAINLYY :)))
Answer:
each colour represents what i’m multiplying
Step-by-step explanation:
hope this helps
restaurant bill:$175 with a 20% tip what will the be the amount of tip
Answer:
$35.00
Step-by-step explanation:
175 x .20=35
If tan 0=5/12 and sin 0>0, then cos 0=?
A -5/13
B 12/13
C 13/12
D -12/13
Answer:
B. 12/13
Step-by-step explanation:
Hypotenuse= [tex]\sqrt{(5)^{2}+12^{2} } \\[/tex]
hypotenuse=13
opposite= 5
adjacent= 12
Cosine= adjacent/hypotenuse
cosine= 12/13
Use the figure to find the measures of the numbered angles.
1 = 61° because it is a corresponding angle to angle 6
2 = 119° because it is an alternate exterior angle to angle 7
3 = 61° because it is an alternate angle to angle 1
4 = 119° because it is an alternate angle to angle 2
5 = 119° because it is an alternate angle to angle 7
6 = 61° because is is an alternate angle to 61°
7 = 119° because it and 61° are supplementary angles (total 180° together)
Answer:
1 = 61° because it is a corresponding angle to angle 6
2 = 119° because it is an alternate exterior angle to angle 7
3 = 61° because it is an alternate angle to angle 1
4 = 119° because it is an alternate angle to angle 2
5 = 119° because it is an alternate angle to angle 7
6 = 61° because is is an alternate angle to 61°
7 = 119° because it and 61° are supplementary angles (total 180° together)
Step-by-step explanation:
help solve pls””/“/“/“
Answer:
[tex]p(11)=626[/tex]
Step-by-step explanation:
Substitute the value (p(11)) into the function and evaluate by solving. Do not forget to follow the order of operations. The order of operations is the steps one must do operations in an equation in order to get a valid result, they are the following,
1. Parenthesis
2.Exponent/Radicals
3.Multiplication/Division
4.Addition/Subtraction
[tex]p(x)=5(x^2+1)+16[/tex]
Substitute,
[tex]p(11)=5((11)^2+1)+16[/tex]
Simplify,
[tex]p(11)=5(121+1)+16[/tex]
[tex]p(11)=5(122)+16[/tex]
[tex]p(11)=610+16[/tex]
[tex]p(11)=626[/tex]